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Finding the Fourth Proportional to 390,762, 586,073.28 and 210,763.69

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Solution

The fourth proportional to 390,762, 586,073.28 and 210,763.69 is: 316,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,762 : 586,073.28 = 210,763.69 : x
  2. Step 2: Convert to fraction form
    390,762/586,073.28 = 210,763.69/x
  3. Step 3: Cross multiply
    390,762x = 586,073.28 × 210,763.69
  4. Step 4: Simplify right side
    390,762x = 123,522,967,103.20
  5. Step 5: Solve for x
    x = 123,522,967,103.20/390,762
  6. Step 6: Final answer
    x = 316,107.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.